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Finding the Fourth Proportional to 2,960.43, 4,435.79 and 2,182.02

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Solution

The fourth proportional to 2,960.43, 4,435.79 and 2,182.02 is: 3,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.43 : 4,435.79 = 2,182.02 : x
  2. Step 2: Convert to fraction form
    2,960.43/4,435.79 = 2,182.02/x
  3. Step 3: Cross multiply
    2,960.43x = 4,435.79 × 2,182.02
  4. Step 4: Simplify right side
    2,960.43x = 9,678,971.59
  5. Step 5: Solve for x
    x = 9,678,971.59/2,960.43
  6. Step 6: Final answer
    x = 3,269.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.